A cone has a slant height of 26 inches and a diameter of 48 inches. What is the volume of the cone?

Approx. 28952.92

Step-by-step explanation:

Because cone volume is found by V=πr².

First you find the radius. Because you have the diameter, you divide that by two, because it's 48, and diameter is radius multiplied by 2. So the radius is 24. 24pi squared with height divided by three is volume so, 28952.92.

Equation obtained from the question.

4x² + 2y = 8 .............(1)

2x² = 7..... (2)

Determination of the value of x².

From equation 2,

Divide both side by 2

Determination of the value of y

From equation 1,

Clear bracket

Collect like terms

Divide both side by 2

Therefore, the value of y is –3

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